{
  "id": "2310.12742",
  "version": "v1",
  "published": "2023-10-19T13:45:41.000Z",
  "updated": "2023-10-19T13:45:41.000Z",
  "title": "Weak pinning and long-range anticorrelated motion of phase boundaries in driven diffusive systems",
  "authors": [
    "Sören Schweers",
    "David F. Locher",
    "Gunter M. Schütz",
    "Philipp Maass"
  ],
  "comment": "6 pages, 4 figures plus 6 pages supplemental material with 3 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We show that domain walls separating coexisting extremal current phases in driven diffusive systems exhibit complex stochastic dynamics, with a subdiffusive temporal growth of position fluctuations due to long-range anticorrelated current fluctuations and a weak pinning at long times. This weak pinning manifests itself in a saturated width of the domain wall position fluctuations that increases sublinearly with the system size. As a function of time $t$ and system size $L$, the width $w(t,L)$ exhibits a scaling behavior $w(t,L)=L^{3/4}f(t/L^{9/4})$, with $f(u)$ constant for $u\\gg1$ and $f(u)\\sim u^{1/3}$ for $u\\ll1$. An Orstein-Uhlenbeck process with long-range anticorrelated noise is shown to capture this scaling behavior. Results for the drift coefficient of the domain wall motion point to memory effects in its dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-19T13:45:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "driven diffusive systems",
      "long-range anticorrelated motion",
      "weak pinning",
      "phase boundaries",
      "coexisting extremal current phases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}